scholarly journals Exponential Sequence in the Operational Calculus Model for the nTH-Order Forward Difference

2019 ◽  
Vol 217 (2) ◽  
pp. 35-47
Author(s):  
Hubert Wysocki
Keyword(s):  
Discrete Model ◽  
Operational Calculus ◽  
Forward Difference ◽  
Exponential Sequence

Abstract In the paper, there has been determined an exponential element in the discrete model of the non-classical Bittner operational calculus for the nth-order forward difference.

scholarly journals A Generalization of Difference Models of the Bittner Operational Calculus

2019 ◽  
Vol 219 (4) ◽  
pp. 41-52
Author(s):  
Hubert Wysocki
Keyword(s):  
Discrete Model ◽  
Operational Calculus ◽  
Forward Difference

Abstract In the paper, there has been constructed a discrete model of the non-classical Bittner operational calculus with a derivative understood as the operation Sb{x(k)} := {x(k+n) − b(k)x(k)}, which is a generalization of the nth-order forward difference. It has also been pointed out that there is a possibility to generalize operational calculus models with backward and central differences of higher orders.

scholarly journals Jackson and Hahn difference models as discrete Bittner operational calculus representations

2017 ◽  
pp. 1-1
Author(s):  
Hubert Wysocki
Keyword(s):  
Operational Calculus ◽  
Discrete Models ◽  
Quantum Calculus ◽  
Forward Difference

In the paper, there have been constructed discrete models of the non-classical Bittner operational calculus that are related to the notions of Jackson and Hahn derivatives, both known from the quantum calculus. To achieve it, we have used the Bittner operational calculus representation for the forward difference.

Taylor’s formula for the forward difference via operational calculus

2010 ◽  
Vol 47 (1) ◽  
pp. 46-53
Author(s):  
Hubert Wysocki
Keyword(s):  
Operational Calculus ◽  
Taylor’S Formula ◽  
Forward Difference ◽  
Taylor's Formula

In this paper a form of the Taylor’s formula for the forward difference has been derived using the properties of the non-classical Bittner operational calculus.

scholarly journals An operational calculus model for the nth — order forward difference

2017 ◽  
pp. 1-1
Author(s):  
Hubert Wysocki
Keyword(s):  
Operational Calculus ◽  
Forward Difference

In this paper, there has been constructed such a model of a non-classical Bittner operational calculus, in which the derivative is understood as a forward difference Δn{x(k)}:={x(k + n) – x(k)}. Next, considering the operation Δn,b{x(k)}:={x(k + n) – b x(k)}, the presented model has been generalized.

scholarly journals Modeling and Analysis on Teacher-Student Relationship

2019 ◽  
Vol 2019 ◽  
pp. 1-7
Author(s):  
Li Xu ◽  
Qi Yang
Keyword(s):  
Discrete Model ◽  
Equation Model ◽  
Reciprocal Relations ◽  
Modeling And Analysis ◽  
Teacher Student ◽  
Teacher Student Relationship ◽  
Sample Data ◽  
Teachers And Students ◽  
Student Relationship ◽  
The Relationship

Although the teacher-student relationship has been addressed in some studies, the cooperation or reciprocal relations between teachers and students have not been explored sufficiently. In this paper, a difference equation model is applied to express the relationship, stability analysis at the positive steady state of the discrete model is done to verify that the performance output is not empty, and hypothesis testing is conducted to show the validity of the model by means of sample data from a college. Then some reasonable suggestions are proposed to improve the performance output of teachers and students.

scholarly journals Airline schedule buffers and flight delays: A discrete model

2021 ◽  
Vol 26-27 ◽  
pp. 100218
Author(s):  
Jan K. Brueckner ◽  
Achim I. Czerny ◽  
Alberto A. Gaggero
Keyword(s):  
Discrete Model ◽  
Flight Delays ◽  
Airline Schedule
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